[Zurück]

M. Bicher, N. Popper, G. Schneckenreither:
"Mean-Field Based Comparison of Two Age Dependent SIR Models";
in: "Proceedings of the 2015 Winter Simulation Conference", 1; L. Yilmaz, W.K.V. Chan, I. C. Moon, T. Roeder, C. Macal, M. Rosetti (Hrg.); herausgegeben von: ACM/SIGSIM, ASA, ASIM (Arbeitsbmeinschaft Simulation) IEEE/SMC, INFORMS, NIST and SCS; IEEE, Huntington Beach, California, US, 2015, ISBN: 978-1-4673-9742-1, S. 3200 - 3201.

ABSTRACT
In this work we compare two structurally different modeling approaches for the simulation of an agedependent SIR (susceptible, infected, recovered) type epidemic spread: a microscopic agent-based model and a macroscopic integro-partial differential equation model. Doing so we put a newly derived Mean-Field Theorem for mixed state-spaces (continuous and discrete) to the test. Afterwards both models are executed and compared for two abstract scenarios to confirm the derived asymptotic equivalence.
1 INTRODUCTION
Comparing two structurally different models on analytical basis can generally contribute to get deeper insights into either of the two modeling methods. Those insights can furthermore be used to support the validation, parametrization and verification process of either of the two models. In this work we compare two different modeling approaches for the simulation of an age-dependent SIR (susceptible, infected, recovered) type epidemic spread: a (microscopic) agent-based model (ABM) and a (macroscopic) integropartial
differential equation (IPDE) model. As a part of the DEXHELPP project we hope that gained structural knowledge from this comparison can support applied models for the Austrian health-care system.

http://publik.tuwien.ac.at/files/PubDat_245806.pdf